A "true proportion" is when you know for a fact the equations are equivalent. You can easily multiply or divide without doing any work.
Answer:
y intercept is -23
Step-by-step explanation:
Here we are given three coordinates and are asked to find y intercept of the line passing through these points.
We thus find the equation of this line by two point form
the form says
(y-y1)/(x-x1) = (y2-y1)/(x2-x1)
Here (x1,y1) = ( -36 , 1 )
and (x2,y2) = ( 13,-54)
Substituting the values we get
(y-1)(x+36)=(1-13)/(-36-(-54))
(y-1)(x+36)=(-12)/(-36+54)
(y-1)(x+36)=(-12)/(18)
y-1=-2/3 ( x+36)
In order to determine the y intercept we are required to leep x = 0 in above equation and solve for y
y-1 = -2/3 (0+36 )
y-1= (-2/3) x (36 )
y-1 = -2 x 12
y-1 = -24
adding 1 on both hand sides
y = -24 +1
y=-23
Answer:
Step-by-step explanation:
This shape is a cone. Since we are looking for the shape's volume, we use it's volume formula.
q(x)= x 2 −6x+9 x 2 −8x+15 q, left parenthesis, x, right parenthesis, equals, start fraction, x, squared, minus, 8, x, plus, 1
AURORKA [14]
According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.
<h3>What is the behavior of a functions close to one its vertical asymptotes?</h3>
Herein we know that the <em>rational</em> function is q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15), there are <em>vertical</em> asymptotes for values of x such that the denominator becomes zero. First, we factor both numerator and denominator of the equation to see <em>evitable</em> and <em>non-evitable</em> discontinuities:
q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15)
q(x) = [(x - 3)²] / [(x - 3) · (x - 5)]
q(x) = (x - 3) / (x - 5)
There are one <em>evitable</em> discontinuity and one <em>non-evitable</em> discontinuity. According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.
To learn more on rational functions: brainly.com/question/27914791
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